What is the Greatest Common Factor of 33588 and 33604?

Greatest common factor (GCF) of 33588 and 33604 is 4.

GCF(33588,33604) = 4

We will now calculate the prime factors of 33588 and 33604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33588 and 33604.

How to find the GCF of 33588 and 33604?

We will first find the prime factorization of 33588 and 33604. After we will calculate the factors of 33588 and 33604 and find the biggest common factor number .

Step-1: Prime Factorization of 33588

Prime factors of 33588 are 2, 3, 311. Prime factorization of 33588 in exponential form is:

33588 = 2² × 3³ × 311¹

Step-2: Prime Factorization of 33604

Prime factors of 33604 are 2, 31, 271. Prime factorization of 33604 in exponential form is:

33604 = 2² × 31¹ × 271¹

Step-3: Factors of 33588

List of positive integer factors of 33588 that divides 33588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 311, 622, 933, 1244, 1866, 2799, 3732, 5598, 8397, 11196, 16794

Step-4: Factors of 33604

List of positive integer factors of 33604 that divides 33588 without a remainder.

1, 2, 4, 31, 62, 124, 271, 542, 1084, 8401, 16802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33588 and 33604. The biggest common factor number is the GCF number.
So the greatest common factor 33588 and 33604 is 4.

Also check out the Least Common Multiple of 33588 and 33604